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mf_newforms • Show schema
Hide schema
{'Nk2': 91392, 'analytic_conductor': 182.44219853822142, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [17, -1]], 'atkin_lehner_string': '+---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [22848, 1, [13567, 18565, 15233, 3265, 2689], [144, 144, 144, 144, 144]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [18, 8, -10, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 144, 'hecke_orbit_code': 644014746747558208, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '22848.2.a.fn', 'level': 22848, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'nf_label': '4.4.78292.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '22848.2.a', 'trace_display': [0, 4, 5, 4], 'traces': [4, 0, 4, 0, 5, 0, 4, 0, 4, 0, -1, 0, -1, 0, 5, 0, 4, 0, 7, 0, 4, 0, 13, 0, 7, 0, 4, 0, 0, 0, 18, 0, -1, 0, 5, 0, 10, 0, -1, 0, 11, 0, -1, 0, 5, 0, -2, 0, 4, 0, 4, 0, -2, 0, -3, 0, 7, 0, 6, 0, 6, 0, 4, 0, 7, 0, 0, 0, 13, 0, 16, 0, -10, 0, 7, 0, -1, 0, 4, 0, 4, 0, -2, 0, 5, 0, 0, 0, 2, 0, -1, 0, 18, 0, 17, 0, -10, 0, -1, 0], 'weight': 2, 'weight_parity': 1}
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label 22848.2.a.fn does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [24, 23, 27, 22, 23, 24, 22, 27, 24, 25, 21, 26, 25, 24, 26, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [244, 276, 268, 257, 252, 275, 265, 252, 269, 256, 264, 255, 260, 257, 267, 260], 'Nk2': 91392, 'analytic_conductor': 182.44219853822142, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [22848, 1, [13567, 18565, 15233, 3265, 2689], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4561, 'dim': 384, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33577280, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8], 'label': '22848.2.a', 'level': 22848, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'mf_dim': 4656, 'mf_new_dim': 384, 'num_forms': 164, 'plus_dim': 184, 'prim_orbit_index': 1, 'relative_dim': 384, 'sturm_bound': 9216, 'trace_display': [0, 0, 0, 0], 'traces': [384, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 96, 0, 0, 0, 64, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 64, 0, 0, 0, 96, 0, 0, 0, 384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -320, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, 384, 0, 0, 0, 64, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 512, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0, -320, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 640, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 96, 0, 0, 0, 256, 0, 0, 0, 352, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 256, 0, 0, 0, -224, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 384, 0, 0, 0, 288, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, -352, 0, 0, 0, -384, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -384, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 448, 0, 0, 0, 256, 0, 0, 0, 256, 0, 0, 0, 576, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -256, 0, 0, 0, -128, 0, 0, 0, 128, 0, 0, 0, 768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 160, 0, 0, 0, -128, 0, 0, 0, -96, 0, 0, 0, -256, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 960, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 256, 0, 0, 0, 320, 0, 0, 0, -128, 0, 0, 0, -128, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 22848.2.a.fn does not appear in mf_twists_nf
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hecke_orbit_code 644014746747558208 does not appear in mf_hecke_charpolys
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label 22848.2.a.fn does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 183619842
{'hecke_orbit_code': 644014746747558208, 'n': 1, 'trace_an': 4}
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id: 183619843
{'hecke_orbit_code': 644014746747558208, 'n': 2, 'trace_an': 0}
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id: 183619844
{'hecke_orbit_code': 644014746747558208, 'n': 3, 'trace_an': 4}
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id: 183619845
{'hecke_orbit_code': 644014746747558208, 'n': 4, 'trace_an': 0}
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id: 183619846
{'hecke_orbit_code': 644014746747558208, 'n': 5, 'trace_an': 5}
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id: 183619847
{'hecke_orbit_code': 644014746747558208, 'n': 6, 'trace_an': 0}
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id: 183619848
{'hecke_orbit_code': 644014746747558208, 'n': 7, 'trace_an': 4}
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id: 183619849
{'hecke_orbit_code': 644014746747558208, 'n': 8, 'trace_an': 0}
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id: 183619850
{'hecke_orbit_code': 644014746747558208, 'n': 9, 'trace_an': 4}
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id: 183619851
{'hecke_orbit_code': 644014746747558208, 'n': 10, 'trace_an': 0}
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id: 183619852
{'hecke_orbit_code': 644014746747558208, 'n': 11, 'trace_an': -1}
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id: 183619853
{'hecke_orbit_code': 644014746747558208, 'n': 12, 'trace_an': 0}
-
id: 183619854
{'hecke_orbit_code': 644014746747558208, 'n': 13, 'trace_an': -1}
-
id: 183619855
{'hecke_orbit_code': 644014746747558208, 'n': 14, 'trace_an': 0}
-
id: 183619856
{'hecke_orbit_code': 644014746747558208, 'n': 15, 'trace_an': 5}
-
id: 183619857
{'hecke_orbit_code': 644014746747558208, 'n': 16, 'trace_an': 0}
-
id: 183619858
{'hecke_orbit_code': 644014746747558208, 'n': 17, 'trace_an': 4}
-
id: 183619859
{'hecke_orbit_code': 644014746747558208, 'n': 18, 'trace_an': 0}
-
id: 183619860
{'hecke_orbit_code': 644014746747558208, 'n': 19, 'trace_an': 7}
-
id: 183619861
{'hecke_orbit_code': 644014746747558208, 'n': 20, 'trace_an': 0}
-
id: 183619862
{'hecke_orbit_code': 644014746747558208, 'n': 21, 'trace_an': 4}
-
id: 183619863
{'hecke_orbit_code': 644014746747558208, 'n': 22, 'trace_an': 0}
-
id: 183619864
{'hecke_orbit_code': 644014746747558208, 'n': 23, 'trace_an': 13}
-
id: 183619865
{'hecke_orbit_code': 644014746747558208, 'n': 24, 'trace_an': 0}
-
id: 183619866
{'hecke_orbit_code': 644014746747558208, 'n': 25, 'trace_an': 7}
-
id: 183619867
{'hecke_orbit_code': 644014746747558208, 'n': 26, 'trace_an': 0}
-
id: 183619868
{'hecke_orbit_code': 644014746747558208, 'n': 27, 'trace_an': 4}
-
id: 183619869
{'hecke_orbit_code': 644014746747558208, 'n': 28, 'trace_an': 0}
-
id: 183619870
{'hecke_orbit_code': 644014746747558208, 'n': 29, 'trace_an': 0}
-
id: 183619871
{'hecke_orbit_code': 644014746747558208, 'n': 30, 'trace_an': 0}
-
id: 183619872
{'hecke_orbit_code': 644014746747558208, 'n': 31, 'trace_an': 18}
-
id: 183619873
{'hecke_orbit_code': 644014746747558208, 'n': 32, 'trace_an': 0}
-
id: 183619874
{'hecke_orbit_code': 644014746747558208, 'n': 33, 'trace_an': -1}
-
id: 183619875
{'hecke_orbit_code': 644014746747558208, 'n': 34, 'trace_an': 0}
-
id: 183619876
{'hecke_orbit_code': 644014746747558208, 'n': 35, 'trace_an': 5}
-
id: 183619877
{'hecke_orbit_code': 644014746747558208, 'n': 36, 'trace_an': 0}
-
id: 183619878
{'hecke_orbit_code': 644014746747558208, 'n': 37, 'trace_an': 10}
-
id: 183619879
{'hecke_orbit_code': 644014746747558208, 'n': 38, 'trace_an': 0}
-
id: 183619880
{'hecke_orbit_code': 644014746747558208, 'n': 39, 'trace_an': -1}
-
id: 183619881
{'hecke_orbit_code': 644014746747558208, 'n': 40, 'trace_an': 0}
-
id: 183619882
{'hecke_orbit_code': 644014746747558208, 'n': 41, 'trace_an': 11}
-
id: 183619883
{'hecke_orbit_code': 644014746747558208, 'n': 42, 'trace_an': 0}
-
id: 183619884
{'hecke_orbit_code': 644014746747558208, 'n': 43, 'trace_an': -1}
-
id: 183619885
{'hecke_orbit_code': 644014746747558208, 'n': 44, 'trace_an': 0}
-
id: 183619886
{'hecke_orbit_code': 644014746747558208, 'n': 45, 'trace_an': 5}
-
id: 183619887
{'hecke_orbit_code': 644014746747558208, 'n': 46, 'trace_an': 0}
-
id: 183619888
{'hecke_orbit_code': 644014746747558208, 'n': 47, 'trace_an': -2}
-
id: 183619889
{'hecke_orbit_code': 644014746747558208, 'n': 48, 'trace_an': 0}
-
id: 183619890
{'hecke_orbit_code': 644014746747558208, 'n': 49, 'trace_an': 4}
-
id: 183619891
{'hecke_orbit_code': 644014746747558208, 'n': 50, 'trace_an': 0}
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id: 183619892
{'hecke_orbit_code': 644014746747558208, 'n': 51, 'trace_an': 4}
-
id: 183619893
{'hecke_orbit_code': 644014746747558208, 'n': 52, 'trace_an': 0}
-
id: 183619894
{'hecke_orbit_code': 644014746747558208, 'n': 53, 'trace_an': -2}
-
id: 183619895
{'hecke_orbit_code': 644014746747558208, 'n': 54, 'trace_an': 0}
-
id: 183619896
{'hecke_orbit_code': 644014746747558208, 'n': 55, 'trace_an': -3}
-
id: 183619897
{'hecke_orbit_code': 644014746747558208, 'n': 56, 'trace_an': 0}
-
id: 183619898
{'hecke_orbit_code': 644014746747558208, 'n': 57, 'trace_an': 7}
-
id: 183619899
{'hecke_orbit_code': 644014746747558208, 'n': 58, 'trace_an': 0}
-
id: 183619900
{'hecke_orbit_code': 644014746747558208, 'n': 59, 'trace_an': 6}
-
id: 183619901
{'hecke_orbit_code': 644014746747558208, 'n': 60, 'trace_an': 0}
-
id: 183619902
{'hecke_orbit_code': 644014746747558208, 'n': 61, 'trace_an': 6}
-
id: 183619903
{'hecke_orbit_code': 644014746747558208, 'n': 62, 'trace_an': 0}
-
id: 183619904
{'hecke_orbit_code': 644014746747558208, 'n': 63, 'trace_an': 4}
-
id: 183619905
{'hecke_orbit_code': 644014746747558208, 'n': 64, 'trace_an': 0}
-
id: 183619906
{'hecke_orbit_code': 644014746747558208, 'n': 65, 'trace_an': 7}
-
id: 183619907
{'hecke_orbit_code': 644014746747558208, 'n': 66, 'trace_an': 0}
-
id: 183619908
{'hecke_orbit_code': 644014746747558208, 'n': 67, 'trace_an': 0}
-
id: 183619909
{'hecke_orbit_code': 644014746747558208, 'n': 68, 'trace_an': 0}
-
id: 183619910
{'hecke_orbit_code': 644014746747558208, 'n': 69, 'trace_an': 13}
-
id: 183619911
{'hecke_orbit_code': 644014746747558208, 'n': 70, 'trace_an': 0}
-
id: 183619912
{'hecke_orbit_code': 644014746747558208, 'n': 71, 'trace_an': 16}
-
id: 183619913
{'hecke_orbit_code': 644014746747558208, 'n': 72, 'trace_an': 0}
-
id: 183619914
{'hecke_orbit_code': 644014746747558208, 'n': 73, 'trace_an': -10}
-
id: 183619915
{'hecke_orbit_code': 644014746747558208, 'n': 74, 'trace_an': 0}
-
id: 183619916
{'hecke_orbit_code': 644014746747558208, 'n': 75, 'trace_an': 7}
-
id: 183619917
{'hecke_orbit_code': 644014746747558208, 'n': 76, 'trace_an': 0}
-
id: 183619918
{'hecke_orbit_code': 644014746747558208, 'n': 77, 'trace_an': -1}
-
id: 183619919
{'hecke_orbit_code': 644014746747558208, 'n': 78, 'trace_an': 0}
-
id: 183619920
{'hecke_orbit_code': 644014746747558208, 'n': 79, 'trace_an': 4}
-
id: 183619921
{'hecke_orbit_code': 644014746747558208, 'n': 80, 'trace_an': 0}
-
id: 183619922
{'hecke_orbit_code': 644014746747558208, 'n': 81, 'trace_an': 4}
-
id: 183619923
{'hecke_orbit_code': 644014746747558208, 'n': 82, 'trace_an': 0}
-
id: 183619924
{'hecke_orbit_code': 644014746747558208, 'n': 83, 'trace_an': -2}
-
id: 183619925
{'hecke_orbit_code': 644014746747558208, 'n': 84, 'trace_an': 0}
-
id: 183619926
{'hecke_orbit_code': 644014746747558208, 'n': 85, 'trace_an': 5}
-
id: 183619927
{'hecke_orbit_code': 644014746747558208, 'n': 86, 'trace_an': 0}
-
id: 183619928
{'hecke_orbit_code': 644014746747558208, 'n': 87, 'trace_an': 0}
-
id: 183619929
{'hecke_orbit_code': 644014746747558208, 'n': 88, 'trace_an': 0}
-
id: 183619930
{'hecke_orbit_code': 644014746747558208, 'n': 89, 'trace_an': 2}
-
id: 183619931
{'hecke_orbit_code': 644014746747558208, 'n': 90, 'trace_an': 0}
-
id: 183619932
{'hecke_orbit_code': 644014746747558208, 'n': 91, 'trace_an': -1}
-
id: 183619933
{'hecke_orbit_code': 644014746747558208, 'n': 92, 'trace_an': 0}
-
id: 183619934
{'hecke_orbit_code': 644014746747558208, 'n': 93, 'trace_an': 18}
-
id: 183619935
{'hecke_orbit_code': 644014746747558208, 'n': 94, 'trace_an': 0}
-
id: 183619936
{'hecke_orbit_code': 644014746747558208, 'n': 95, 'trace_an': 17}
-
id: 183619937
{'hecke_orbit_code': 644014746747558208, 'n': 96, 'trace_an': 0}
-
id: 183619938
{'hecke_orbit_code': 644014746747558208, 'n': 97, 'trace_an': -10}
-
id: 183619939
{'hecke_orbit_code': 644014746747558208, 'n': 98, 'trace_an': 0}
-
id: 183619940
{'hecke_orbit_code': 644014746747558208, 'n': 99, 'trace_an': -1}
-
id: 183619941
{'hecke_orbit_code': 644014746747558208, 'n': 100, 'trace_an': 0}